Supported by bronze rod and aluminum rod

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Reference no: EM13713126

Rigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load P is applied to the free end of aluminum rod (3). Bronze rod (1) has an elastic modulus of E₁ = 15,000 ksi and a diameter of d₁ = 0.45 in. Aluminum rod (2) has an elastic modulus of E₂ = 10,000 ksi and a diameter of d₂ =0.75in. Aluminum rod (3) has a diameter of d₃ = 1.10in. The yield strength of the bronze is 48 ksi and the yield strength of the aluminum is 40 ksi.

a) Determine the magnitude of load P that can safely be applied to the structure if a minimum factor of safety of 2.1 is required.

b) Determine the deflection of point D for the load determined in part (a).

c) The pin used at B has an ultimate shear strength of 54 ksi. If a factor of safety of 3.5 is required for this double shear pin connection, determine the minimum pin diameter that can be used at B.

Reference no: EM13713126

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